Question

Qual a soma dos números pares de 1 a 1000 ​me ajudem

Answer 1

$> resolucao \\ \\ \geqslant \: progressao \: \: aritmetica \\ \\ a1 = 2 \\ an = 1000 \\ r = 2 \\ \\ an = a1 + (n - 1)r \\ 1000 = 2 + (n - 1)2 \\ 1000 = 2 + 2n - 2 \\ 1000 = 2n \\ n = \frac{1000}{2} \\ n = 500 \\ \\ = = = = = = = = = = = = = = = \\ \\ > \: soma \: dos \: termos \: da \: pa \\ \\ sn = \frac{(a1 + an)n}{2} \\ \\ sn = \frac{(2 + 1000)500}{2} \\ \\ sn = \frac{1002 \times 500}{2} \\ \\ sn = 1002 \times 250 \\ \\ sn = 250500 \\ \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \geqslant$